Jesus approved of Adam/Eve in the NT and never condemned that story, and being "all-knowing" over the last 2000 years he obviously approves of the Bible or else he'd have told humanity that it (and the talking snake, etc.) are false (he's the main hero in that book, so he has a moral obligation to tell us if it were false), or he simply doesn't care about us, or he's not actually real....one of those 3 choices.
We do like the Golden Rule, however, just not Jesus' magic stuff, since it's obviously unscientific. Also, "Original sin" is not something that we can bring forward, because it's not what's best for the world because of course it effectively serves to reduce people's self-image. Also the verse right before the golden rule says that we are all "evil" or "wicked", depending upon the translation (from bible.cc wed site parallel bible translations.)